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Finding the Fourth Proportional to 512,766.30, 707,614.79 and 283,339.40

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Solution

The fourth proportional to 512,766.30, 707,614.79 and 283,339.40 is: 391,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,766.30 : 707,614.79 = 283,339.40 : x
  2. Step 2: Convert to fraction form
    512,766.30/707,614.79 = 283,339.40/x
  3. Step 3: Cross multiply
    512,766.30x = 707,614.79 × 283,339.40
  4. Step 4: Simplify right side
    512,766.30x = 200,495,152,040.54
  5. Step 5: Solve for x
    x = 200,495,152,040.54/512,766.30
  6. Step 6: Final answer
    x = 391,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.